Question

How do you solve `3/2x+3< 1/x-2`?

Answer 1

see below:

Explanation:

`3/2x+3<1/x-2`
`=> 3/2x-1/x+5<0`

if `x>0:`
`=> 1.5x^2+5x-1<0`
`=> ~~ x>0.19 or x<-3.52`

if `x<0:`
`=> 1.5x^2+5x-1>0`
`=> ~~ -3.52>x>0.19`